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20021122221102 = 23343107709113657
BaseRepresentation
bin1001000110101100001111…
…11000001100010000101110
32121220000000102122111212000
410203112013320030100232
510111011224242033402
6110325324312353130
74134323033651262
oct443260770142056
977800012574760
1020021122221102
116419a015a9412
1222b42893a57a6
13b22ca331c712
144d30555c80a2
1524abde3c6c1c
hex123587e0c42e

20021122221102 has 128 divisors (see below), whose sum is σ = 46016759923200. Its totient is φ = 6448419548928.

The previous prime is 20021122221047. The next prime is 20021122221109. The reversal of 20021122221102 is 20112222112002.

It is a happy number.

20021122221102 is a `hidden beast` number, since 20 + 0 + 211 + 222 + 211 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021122221109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176097058 + ... + 176210714.

It is an arithmetic number, because the mean of its divisors is an integer number (359505936900).

Almost surely, 220021122221102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20021122221102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23008379961600).

20021122221102 is an abundant number, since it is smaller than the sum of its proper divisors (25995637702098).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20021122221102 is a wasteful number, since it uses less digits than its factorization.

20021122221102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114527 (or 114521 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20021122221102 its reverse (20112222112002), we get a palindrome (40133344333104).

The spelling of 20021122221102 in words is "twenty trillion, twenty-one billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 43 54 86 107 129 214 258 321 387 642 709 774 963 1161 1418 1926 2127 2322 2889 4254 4601 5778 6381 9202 12762 13803 19143 27606 30487 38286 41409 60974 75863 82818 91461 113657 124227 151726 182922 227314 227589 248454 274383 340971 455178 548766 681942 682767 823149 1022913 1365534 1646298 2045826 2048301 3068739 3262109 4096602 4887251 6137478 6524218 9774502 9786327 12161299 14661753 19572654 24322598 29323506 29358981 36483897 43985259 58717962 72967794 80582813 87970518 88076943 109451691 131955777 161165626 176153886 218903382 241748439 263911554 328355073 483496878 522935857 656710146 725245317 1045871714 1450490634 1568807571 2175735951 3137615142 3465060959 4351471902 4706422713 6930121918 8622360991 9412845426 10395182877 14119268139 17244721982 20790365754 25867082973 28238536278 31185548631 51734165946 62371097262 77601248919 93556645893 155202497838 187113291786 232803746757 370761522613 465607493514 741523045226 1112284567839 2224569135678 3336853703517 6673707407034 10010561110551 20021122221102